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Finding the Fourth Proportional to 579.07, 799.10 and 346.21

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Solution

The fourth proportional to 579.07, 799.10 and 346.21 is: 477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.07 : 799.10 = 346.21 : x
  2. Step 2: Convert to fraction form
    579.07/799.10 = 346.21/x
  3. Step 3: Cross multiply
    579.07x = 799.10 × 346.21
  4. Step 4: Simplify right side
    579.07x = 276,654.68
  5. Step 5: Solve for x
    x = 276,654.68/579.07
  6. Step 6: Final answer
    x = 477.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.